Some Hermite Base Polynomials on q-Umbral Algebra

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Dere R.

FILOMAT, vol.30, no.4, pp.961-967, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1604961d
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.961-967
  • Keywords: Appell sequences, Bernoulli polynomials of higher order, Hermite polynomials of higher order, Umbral algebra, Umbral calculus, CALCULUS, BERNOULLI
  • Akdeniz University Affiliated: Yes

Abstract

The aim of this paper is to investigate the q-Hermite type polynomials by using umbral calculus methods. Using this method, we derive new type polynomials which are related to the q-Bernoulli polynomials and the q-Hermite type polynomials. Furthermore, we also derive some new identities of those polynomials which are derived from q-umbral calculus.